1.

a fast train takes 3 hours less than a slow train for journey of 600 km. if speed of the slow train is 10 km per hour less than fast train. find speed of both the trains.

Answer»

Slow train speed be x and fast be y
y-x = 10 km/hr (given)
Time difference is 3 hours

t2 = T1+3
For JOURNEY of 600 Kms, fast train takes 3 hours less time
Distance d= 600
d= speed * time
for fast train d = y*(t1+3)
slow train d= x*(t1)

600= YT1 +3y
600= xt1
By combination of the speeds , trial and error as the difference is given.

12 and 15 hours journey is an ideal case
Fast train takes 12 hours to cover 600kms with speed 50km/hr

And slow train takes 15 hours to cover 600kms with speed 40km/hr



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